Question

sets the problem (10points) make a venn diagram to answer the following numbers below. 30 hikers were asked if they already hike at mt. arayat of pampanga, mt. pinatubo of zambales and mt. telakawa of tarlac. 19 hikers said they went to mt. arayat, 17 said they hiked at mt. pinatubo, and 18 said, they hiked at mt. telakawa. 8 hikers have hiked both in mt. arayat and mt. pinatubo, 11 hikers said they both went to mt. arayat and mt. telakawa, 10 said they have hiked both at mt. pinatubo and mt. telakawa, while 5 said they have hiked in the three mountains

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Answer 1

Answer:

hope this may helps you

u need to write the give information and draw the veen diagram...

Answer 2

Given:

30 hikers were asked if they had already hiked at mt. arayat of pampanga, mt. pinatubo of zambales and mt. telakawa of Tarlac. 19 hikers said they went to mt. Arayat, 17 said they hiked at mt. Pinatubo and 18 said they hiked at mt. telakawa. 8 hikers have hiked both in mt. Arayat and mt. Pinatubo, 11 hikers said they both went to mt. Arayat and mt. telakawa, 10 said they have hiked both at mt. Pinatubo and mt. telakawa, while 5 said they have hiked in the three mountains

To Find:

make a Venn diagram to answer the following numbers below

Solution:

To draw a Venn Diagram let's start by drawing 3 order Venn diagram because we have 3 mountains, now name the 3 circles as A, P, T for the 3 mountains respectively, now allot the total hikers to all the mountains and then allot the common hikers who went to two mountains and write in the intersection

then at the centre put the value of the hikers who went to all the three mountains i.e 5 then find the value to each intersection

$A,P=8-5=3\\P,T=10-5=5\\A,T=11-5=6$

then find the values for only the hikers who went to only one mountain

$A=19-(6+5+3)=5\\P=17-(5+5+3)=4\\T=18-(5+5+6)=2$

Hence, all the values are found in the Venn diagram attached below.